Discussion
An inlet's recovery falls from \( 0.98 \) to \( 0.93 \). If thrust falls by roughly 1.3 times the recovery loss, the thrust penalty is about
Answer: D
Correct answer: 6.5 per cent
The recovery falls by five percentage points, and the thrust penalty is roughly 1.3 times that:
\[ (0.98 - 0.93) \times 100 \times 1.3 = 5.0 \times 1.3 = 6.5\ \mathrm{per\ cent} \]
The multiplier above one is the important point: thrust is more sensitive to recovery than proportionally, because a loss of total pressure reduces both the mass flow the engine can pass and the pressure ratio available across the nozzle. Small inlet losses are therefore expensive.
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